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Finding the Fourth Proportional to 151,970, 209,712.93 and 87,449.20

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Solution

The fourth proportional to 151,970, 209,712.93 and 87,449.20 is: 120,676.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,970 : 209,712.93 = 87,449.20 : x
  2. Step 2: Convert to fraction form
    151,970/209,712.93 = 87,449.20/x
  3. Step 3: Cross multiply
    151,970x = 209,712.93 × 87,449.20
  4. Step 4: Simplify right side
    151,970x = 18,339,227,958.16
  5. Step 5: Solve for x
    x = 18,339,227,958.16/151,970
  6. Step 6: Final answer
    x = 120,676.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.